Answer:
Option B. all real numbers
Step-by-step explanation:
We have
and
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
Then:
The domain of the function f(g(x)) is the range of the function .
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b:
And his domain is all real.